a teacher pushed a 98 newton desk acrosss a floor for a distance of 5 meters she exerted a horizontal force of 20 newton How much work was done?
work= force*distance
500J
In order to calculate the work done, you need to use the formula:
Work (W) = Force (F) x Distance (d) x Cosine of the angle between the force and the displacement.
In this case, both the force and the displacement are in the horizontal direction, so the angle between them is 0 degrees, and the cosine of 0 degrees is 1.
Given that the force (F) exerted by the teacher is 20 newtons and the distance (d) is 5 meters, the equation becomes:
Work = 20 newtons x 5 meters x 1
Work = 100 joules
So, the amount of work done by the teacher is 100 joules.
To calculate the work done, you can use the formula:
Work (W) = Force (F) x Distance (d) x cos(θ)
Where:
- Work is measured in joules (J)
- Force is measured in newtons (N)
- Distance is measured in meters (m)
- θ is the angle between the direction of force and the direction of displacement (in this case, it's horizontally pushed, so the angle is 0 degrees)
In your question, the teacher applied a horizontal force of 20 newtons to push the desk a distance of 5 meters. The angle between the force and displacement is 0 degrees. Therefore, you can substitute these values into the formula:
W = 20 N x 5 m x cos(0°)
The cosine of 0 degrees is 1.
W = 20 N x 5 m x 1
W = 100 J
So, the work done by the teacher is 100 joules.